Which of the following statements is true regarding amortised analysis?1 PointGrading comment:Choice 1 of 5:Amortised analysis is a way to compare the growth rates of different functions with large input parameters.Choice 2 of 5:Amortised analysis may be used to predict the depth that a recursive function will reach.Choice 3 of 5:Amortised analysis is a way of determining the effective running time/behaviour of a function when averaged over many function calls.Choice 4 of 5:Amortised analysis may be used to determine the number of iterations of an inner loop.Choice 5 of 5:Amortised analysis is a way to determine the total cost of operations of an algorithm as the input size approaches zero.
Question
Which of the following statements is true regarding amortised analysis?1 PointGrading comment:Choice 1 of 5:Amortised analysis is a way to compare the growth rates of different functions with large input parameters.Choice 2 of 5:Amortised analysis may be used to predict the depth that a recursive function will reach.Choice 3 of 5:Amortised analysis is a way of determining the effective running time/behaviour of a function when averaged over many function calls.Choice 4 of 5:Amortised analysis may be used to determine the number of iterations of an inner loop.Choice 5 of 5:Amortised analysis is a way to determine the total cost of operations of an algorithm as the input size approaches zero.
Solution
The correct statement regarding amortised analysis is:
Choice 3 of 5: Amortised analysis is a way of determining the effective running time/behaviour of a function when averaged over many function calls.
Explanation: Amortised analysis is a method used in computer science for analyzing a given algorithm's time complexity. It involves finding the average time taken per operation, over a worst-case sequence of operations. So, it can be used to determine the effective running time of a function when averaged over many function calls. The other options do not accurately describe the purpose or use of amortised analysis.
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